Question

корень из 3 * cos п/12 - sin п/12

Answer 1

$sqrt3cosfrac{pi}{12}-sinfrac{pi}{12}=2(frac{sqrt{3}}{2}sinfrac{pi}{12}-frac{1}{2}sinfrac{pi}{12})=\=2(sinfrac{pi}{3}cosfrac{pi}{12}-cosfrac{pi}{3}sinfrac{pi}{12})=2sin(frac{pi}{3}-frac{pi}{12})=\=2sinfrac{3pi}{12}=2sinfrac{pi}{4}=2cdot frac{sqrt{2}}{2}}=sqrt{2}$